Question

Write as a single fraction in its simplest form.
1/x+2 - 2/3x - 1

Answer 1

Answer:

answer will be 3x²+5x+4=0

easy question

Answer 2

Given :  1/(x + 2)  -  2/(3x - 1)

To Find : Write as a single fraction

Solution:

1/(x + 2)  -  2/(3x - 1)

= { (3x - 1) - 2(x + 2) } .(x + 2)(3x - 1)

= (3x - 1 - 2x - 4) /(x + 2)(3x - 1)

= (x - 5 ) /(x + 2)(3x - 1)

= (x - 5)/(3x² + 5x - 2)

1/(x + 2)  -  2/(3x - 1)  = (x - 5)/(3x² + 5x - 2)

or  = (x - 5)/(3x² + 5x - 2)

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